92 citations · 246 across the 5 of their papers we have counts for
5 papers
A determinantal formula for the GOE Tracy-Widom distribution
Patrik L. Ferrari, Herbert Spohn
Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We es…
Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
Patrik L. Ferrari
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. Through the Robinson-Schensted-Knuth (RSK) construction, one o…
Constrained Brownian motion: Fluctuations away from circular and parabolic barriers
Patrik L. Ferrari, Herbert Spohn
Motivated by the polynuclear growth model, we consider a Brownian bridge b(t) with b(\pm T)=0 conditioned to stay above the semicircle c_T(t)=\sqrtT^2-t^2. In the limit of large T,…
Step fluctuations for a faceted crystal
Patrik L. Ferrari, Herbert Spohn
A statistical mechanics model for a faceted crystal is the 3D Ising model at zero temperature. It is assumed that in one octant all sites are occupied by atoms, the remaining ones…
Last Branching in Directed Last Passage Percolation
Patrik L. Ferrari, Herbert Spohn
The 1+1 dimensional directed polymers in a Poissonean random environment is studied. For two polymers of maximal length with the same origin and distinct end points we establish th…